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Finding the Fourth Proportional to 7,144.71, 9,859.72 and 4,162.59

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Solution

The fourth proportional to 7,144.71, 9,859.72 and 4,162.59 is: 5,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.71 : 9,859.72 = 4,162.59 : x
  2. Step 2: Convert to fraction form
    7,144.71/9,859.72 = 4,162.59/x
  3. Step 3: Cross multiply
    7,144.71x = 9,859.72 × 4,162.59
  4. Step 4: Simplify right side
    7,144.71x = 41,041,971.87
  5. Step 5: Solve for x
    x = 41,041,971.87/7,144.71
  6. Step 6: Final answer
    x = 5,744.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.